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Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Petr Knobloch

    1. Faculty of Mathematics and Physics, Charles University in Prague, Praha, Czech Republic

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  • Contributions of invited speakers provide a broad review of current research and important recent results
  • Contributed papers provide details of newest achievements in the computational and asymptotic techniques
  • Numerous applications show the reader the importance of the presented techniques

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 108)

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Table of contents (24 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. A Note on the Stabilised Q1 − P0 Method on Quadrilaterals with High Aspect Ratios

    • Gabriel R. Barrenechea, Andreas Wachtel
    Pages 1-11

  3. A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow

    • Tomás Patricio Barrios, José Manuel Cascón, María González
    Pages 13-23

  4. A Local Projection Stabilized Lagrange-Galerkin Method for Convection-Diffusion Equations

    • Rodolfo Bermejo, Rafael Cantón, Laura Saavedra
    Pages 25-34

  5. Outflow Conditions for the Navier-Stokes Equations with Skew-Symmetric Formulation of the Convective Term

    • Malte Braack
    Pages 35-45

  6. Finite Element Approximation of an Unsteady Projection-Based VMS Turbulence Model with Wall Laws

    • Tomás Chacón Rebollo, Macarena Gómez Mármol, Samuele Rubino
    Pages 47-73

  7. Spatial Semidiscretizations and Time Integration of 2D Parabolic Singularly Perturbed Problems

    • Carmelo Clavero, Juan Carlos Jorge
    Pages 75-85

  8. Boundary Layers in a Riemann-Liouville Fractional Derivative Two-Point Boundary Value Problem

    • José Luis Gracia, Martin Stynes
    Pages 87-98

  9. On the Application of Algebraic Flux Correction Schemes to Problems with Non-vanishing Right-Hand Side

    • Petr Knobloch
    Pages 99-109

  10. Investigation of Numerical Wall Functions Based on the 1D Boundary-Layer Equations for Flows with Significant Pressure Gradient

    • Tobias Knopp, Fabian Spallek, Octavian Frederich, Gerd Rapin
    Pages 111-120

  11. Modified SUPG Method on Oriented Meshes

    • Jan Lamač
    Pages 121-133

  12. On Numerical Simulation of Transition to Turbulence in Turbine Cascade

    • Petr Louda, Karel Kozel, Jaromír Příhoda
    Pages 135-145

  13. Understanding the Limits of Inf-Sup Stable Galerkin-FEM for Incompressible Flows

    • Gert Lube, Daniel Arndt, Helene Dallmann
    Pages 147-169

  14. A Posteriori Optimization of Parameters in the SUPG Method for Higher Degree FE Spaces

    • Petr Lukáš
    Pages 171-181

  15. A Parameter-Uniform First Order Convergent Numerical Method for a System of Singularly Perturbed Second Order Delay Differential Equations

    • Manikandan Mariappan, John J. H. Miller, Valarmathi Sigamani
    Pages 183-195

  16. Numerical Simulation of Air Jet Attachment to Convex Walls and Application to UAV

    • Nikola Mirkov, Boško Rašuo
    Pages 197-207

  17. Cholesky Factorisation of Linear Systems Coming from Finite Difference Approximations of Singularly Perturbed Problems

    • Thái Anh Nhan, Niall Madden
    Pages 209-220

  18. Numerical Experiments with a Linear Convection–Diffusion Problem Containing a Time-Varying Interior Layer

    • Eugene O’Riordan, Jason Quinn
    Pages 221-231

  19. Second Order Uniformly Convergent Numerical Method for a Coupled System of Singularly Perturbed Reaction-Diffusion Problems with Discontinuous Source Term

    • S. Chandra Sekhara Rao, Sheetal Chawla
    Pages 233-244

  20. A Multiscale Sparse Grid Technique for a Two-Dimensional Convection-Diffusion Problem with Exponential Layers

    • Stephen Russell, Niall Madden
    Pages 245-255
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About this book

This volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic. These are devoted to the theoretical and/or numerical analysis of problems involving boundary and interior layers and methods for solving these problems numerically. The authors are both mathematicians (pure and applied) and engineers, and bring together a large number of interesting ideas. The wide variety of topics treated in the contributions provides an excellent overview of current research into the theory and numerical solution of problems involving boundary and interior layers.

 

Editors and Affiliations

  • Faculty of Mathematics and Physics, Charles University in Prague, Praha, Czech Republic

    Petr Knobloch

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